This chapter surveys interdisciplinary pedagogy that emphasizes the connections between
mathematics and music by contextualizing the mathematics learning process within musical …

This Special Issue is dedicated to explicate and discuss methodological issues in the
interdisciplinary research field of mathematical and computational approaches to music. It …

This paper deals with the algebraic structure of the sequence of harmonics when combined
with equal temperaments. Fractals and the golden ratio appear surprisingly on the way. The …

In this paper, we examine relationships between signature transformations, Filtered Point-
Symmetry (FiPS), and voice-leading spaces, with a strong emphasis on the role of scalar …

The aim of this article is to describe mathematically different tuning systems, to study their
mathematical properties, and to propose a construction allowing their comparison. In order …

We extend the theory of maximally even sets to determine the evenness of partitions of the
chromatic universe U c. Interactions measure the average evenness of colour sets …

The current study was conducted with the goal of helping to address the research gap of
improving preservice teachers' pedagogical knowledge about probability by investigating …

Abstract Repertoire in Bohlen-Pierce (BP) tuning has grown significantly since the debut of
BP clarinets in 2008. Literature specifically dedicated to the BP clarinet, on the other hand, is …

Abstract scales are formalized as a cyclic group of classes of projection functions related to
iterations of the scale generator. Their representatives in the frequency domain are used to …

We study classes of musical scales obtained from shift spaces in symbolic dynamics through
the first symbol rule, which yields scales in any n-TET tuning system. The modes are thought …